Error mitigation with Clifford quantum-circuit data

AAArrasmith, Andrew Thomas [Los Alamos National Lab. (LANL), Los Alamos, NM (United States)]; Czarnik, Piotr Jan [Los Alamos National Lab. (LANL), Los Alamos, NM (United States)]; Coles, Patrick Joseph [Los Alamos National Lab. (LANL), Los Alamos, NM (United States)]; Cincio, Lukasz [Los Alamos National Lab. (LANL), Los Alamos, NM (United States)]

Los Alamos National Laboratory

Abstract

Achieving near-term quantum observables despite significant hardware noise. For this purpose, we propose a novel, scalable error-mitigation method that applies to gate-based quantum computers. The method generates training data {Xinoisy,Xiexact} via quantum circuits composed largely of Clifford gates, which can be efficiently simulated classically, where Xinoisy and Xiexact are noisy and noiseless observables respectively. Fitting a linear ansatz to this data then allows for the prediction of noise-free observables for arbitrary circuits. We analyze the performance of our method versus the number of qubits, circuit depth, and number of non-Clifford gates. Here, we obtain an order-of-magnitude error reduction…

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1
  • AA
    Arrasmith, Andrew Thomas [Los Alamos National Lab. (LANL), Los Alamos, NM (United States)]; Czarnik, Piotr Jan [Los Alamos National Lab. (LANL), Los Alamos, NM (United States)]; Coles, Patrick Joseph [Los Alamos National Lab. (LANL), Los Alamos, NM (United States)]; Cincio, Lukasz [Los Alamos National Lab. (LANL), Los Alamos, NM (United States)]Corresponding

    Los Alamos National Laboratory

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Keywords
  • Algorithm
  • Computer science
  • Artificial intelligence
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